the remainder when the polynomial f(x) =2x^3 + px^2 + qx 18 is divided by (x-1) is 10. When it is divided by x+1 the remainder is 12. Find the values of the consonants p and q

Answer: B. $29.25

Step-by-step explanation:

Given, Beginning price =  $24.75

Over the next 5 days,

On Monday, gain of  $2.50 represented by + $2.50.

On Tuesday, loss of $3.25 represented by - $3.25 .

On Wednesday,  loss of $0.75 represented by - $0.75.

On Thursday, gain of $1.25 represented by + $1.25.

On Friday, gain of $4.75 represented by + $4.75.

Price of the share of stock at the end of Friday = (Beginning price)+ ( + $2.50 - $3.25- $0.75+ $1.25+ $4.75)

= $( 24.75 + 2.50 -3.25 -0.75 +1.25 +4.75)

= $29.25

Hence, the correct option is B. $29.25.

Answer:

y ...................

Answer:

[tex]\sqrt{7}[/tex], 2.8, [tex]\pi[/tex], [tex]\sqrt{17}[/tex], 4.6

Step-by-step explanation:

To order the numbers from least to greatest turn all the numbers into decimal form.

[tex]\sqrt{7}[/tex]: 2.65

[tex]\sqrt{17}[/tex]: 4.12

[tex]\pi[/tex]: 3.14

4.6

2.8

Now order them from least to greatest (make sure you put the numbers back into their original form)

[tex]\sqrt{7}[/tex], 2.8, [tex]\pi[/tex], [tex]\sqrt{17}[/tex], 4.6

The numbers in the form of least to greatest will be [tex]\sqrt{7}[/tex], [tex]2\overline{.8}[/tex], π, [tex]\sqrt{17}[/tex], 4.6.

Rational numbers are those numbers which have terminating,Repeating or recurring digits after the decimal place.

Irrational numbers have non-repeating, non-recurring non-terminating digits after the decimal place.

According to the given question we have to order the number from least to greatest.

Given number are 4.6, [tex]2\overline{.8}[/tex], π, [tex]\sqrt{17}[/tex], [tex]\sqrt{7}[/tex].

We know the value of π is 3.14 approx and square root of 17 lies between square root of 16 and 25 which are 4 and 5 but more close to 4 and square root of 7 lies between square root of 4 and 9 which are 2 and 3.

∴  The given numbers in increasing order will be

[tex]\sqrt{7}[/tex], [tex]2\overline{.8}[/tex], π, [tex]\sqrt{17}[/tex], 4.6.

learn more about these type of problems here :

https://brainly.com/question/20681445

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Answer: 7

Step-by-step explanation:

Use PEMDAS method to solve.

This means to solve all the numbers in order.

----------------------------------------------------------------

 1 + 2 × 3

=1 + 6 ⇔ First do multiplication

=7 ⇔ Then do division

Step-by-step explanation:

Answer:

Step-by-step explanation:

Factorize 12 and 24

12 = 2 * 2 * 3

24 = 2 * 2 * 2 * 3

GCF = 2 * 2 * 3 = 12

12 + 24x = 12*1 + 12 * 2 *x

             = 12*(1 + 2x)

Answer:

1/12

Step-by-step explanation:

1 in 6 probablity on the dice and 1/2 probablity on the coin. multiply 6 and 2 = 12

1/12 probablity

i think this is the right answer but im not 100 percent sure

Answer:

C = 113.04

Step-by-step explanation:

arc ACB = (Ф/360) * 2πr

81.64 = (260/360) * 2 * π * r

r = (81.64 * 360)

         2 * π

r = 17.99 cm

Circumference = 2 * π * r

C = 2 * π * 17.99

C = 113.04

Answer:

zanna's cousin is 17 years older than zanna

Step-by-step explanation:

Answer:

17 years older

Step-by-step explanation:

1997- 1980 = 17

Answer:

3x + 6y - 2

Step-by-step explanation:

6x - 2 + 9y - 3y - 3x = 6x - 3x + 9y - 3y - 2 = 3x + 6y - 2

Answer:

The probability of getting a king is = 1/16.

The probability of getting a black card is = 11/24.

Answer:

200,7 miles

Step-by-step explanation:

Proportions:

223 miles   ⇔  10 gallons

D miles   ⇔  9 gallons

D = 223*9/10

D = 200.7 miles

Answer:

The answer is

Step-by-step explanation:

In order to find the number of miles he drove we use ratio and proportion

From the question

If he used 10 gallons while driving 223 miles

The 9 gallons will be

Hope this helps you

Answer:

The inverse is 1/2x +4

Step-by-step explanation:

g(x)=2x -8​

y = 2x-8

Exchange x and y

x = 2y-8

Solve for y

x+8 = 2y-8+8

x+8 = 2y

Divide by 2

1/2 x + 8/2 = 2y/2

1/2x +4 = y

The inverse is 1/2x +4

Answer:

y = 1/2x + 4

Step-by-step explanation:

The first equation is y = 2x - 8

switch out y for x

x = 2y - 8

add 8 to both sides

2y = x + 8

divide by 2 on each side

y = 1/2x + 4

Answer:

X=4

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

3x - 13 = 23

Bring non-variable numbers to other side:

3x = 36

Divide both sides by 3:

x = 12

Answer:

x = 12

Step-by-step explanation:

This equation is very easy to solve.

3x - 13 = 23 Add 13 to both sides of the equation.

3x = 36 Divide by 3 on both sides of the equation.

x = 12

Then, check your answer by substituting the solved value.

3(12) - 13 = 23

36 - 13 = 23

23 = 23

Therefore, x = 12 is the solution to the equation.

answer: 7(x-1)

hope this helps you

Answer: The answer is 7(x - 1).

Step-by-step explanation:

So far, we know that the givens are:

7 times the difference of a number and 1

We just need to understand what it says:

7 times ( difference of a number and 1)        

So "the number" can be any number, but you have to replace it with a variable such as n, s, x, etc. And by the way, difference is from subtraction, the result of the subtraction of 1 from the unknown number. Using this, we get:

7(x - 1)

Hence the answer!

Answer:

A

Step-by-step explanation:

5 (-5 + n) = -3 - 6n

-25 + 5n = -3 - 6n

-25 + 11n = -3

11n = 22

n = 2

Answer:

11 cm, 11 cm

Step-by-step explanation:

Let the length and width of the rectangle be x cm and y cm respectively.

Therefore,

Perimeter of rectangle = 44 cm

2(x + y) = 44

x + y = 44/2

x + y = 22...... (1)

Area of rectangle = xy

When length is increased by 4 cm and breadth is increased by 2 cm.

New length = (x + 4) cm

New width = (y + 2) cm

New area of rectangle = original area + 72.. (given)

Therefore,

(x + 4) (y + 2) = xy + 72

xy + 2x + 4y + 8 = xy + 72

2x + 4y = 72 - 8

2x + 4y = 66

2(x + 2y) = 66

x + 2y = 66/2

x + 2y = 33.... (2)

Subtracting equation (1) from equation (2)

x + 2y - (x + y) = 33 - 22

x + 2y - x - y = 11

y = 11

Substituting y = 11 in equation (1)

x + 11 = 22

x = 22 - 11

x = 11

Thus, the dimensions of the rectangle are 11 cm and 11 cm.

Answer:

5x-2y=7

Step-by-step explanation:

Here's a tip: The subtraction symbol in the equation indicates that the line on the graph is slanted to the right; /

And an addition symbol in an equation like this indicates that the line on the graph is slanted to the left; \

This tip will make better sense with simple equations like the ones in the picture or y = mx+b equations.

Answer:

5x-2y=7

Step-by-step explanation:

5x-2y=7

when x=0,then -2y=7,  y=-7/2

when y=0,  5x=7, x=7/5

Answer:

3x-21

Step-by-step explanation:

3(x-7)  you must do distributive property

3x - 21

negative twenty-four over three equals negative eight.

First let's translate these words algebraically and form an equation:

Let oranges be x and apples be y, [tex]2.29x+1.69y[/tex]

a. coefficients are the constants multiplied by the variable, they represent the price of both oranges and apples.

b. I am assuming that the terms here represent how much he paid for the pounds of oranges and apples he bought in total.

Answer:

Hey there!

Total juice: 1.5+7.5=9

Orange juice: 1.5

1.5/9=1/6

Let me know if this helps :)

Answer:

Mary has £20 and Tom has £16

Step-by-step explanation:

Represent their current respective money amounts by m and t.

Then m + t = £36, but also m/2 + 2t = £42.

Multiplying the second equation by 2 removes the fraction:

m + 4t = £84

and multiplying this by -1 results in

-m - 4t = -£84, which can now be added to the first equation m + t = £36:

-m - 4t = -£84

+m +  t  = £36

---------------------

       -3t =  -£48

We have successfully eliminated m.  To solve this last result for t, divide both sides by -3, obtaining t = £16

Since m + t  = £36 and t = £16, m must be £20.

Mary has £20 and Tom has £16

Answer: If you play 4 games, the price will be the same in the two establishments.

Step-by-step explanation:

Ok, in Family Bowling we have:

$4 per game, plus $1 per shoes (the shoes are paid only one time).

Then, the price for X games, is:

Pa(X) = $4*X + $1.

In Knight Owl Bowling we have:

$3.75 per game and $2 for the shoes, the price for X games will be:

Pb(X) = $3.75*X + $2.

Now, if we want to pay the same in both establishments, we have:

Pa(X) = Pb(x)

$4*X + $1 = $3.75*X + $2

Now we should solve this for X.

$4*X - $3.75*X = $2 - $1 = $1

($4 - $3.75)*X = $1

$0.25*X = $1

X = $1/$0.25 = 4.

If you play 4 games, the price will be the same in the two establishments.

Answer:

[tex] \boxed{ \bold{ \huge{ \sf{x = 29}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - 3(3 + x) + 4(x - 6) = - 4 }[/tex]

Distribute -3 through the parentheses

Similarly, Distribute 4 through the parentheses

⇒[tex] \sf{ - 9 - 3x + 4x - 24 = - 4}[/tex]

Collect like terms

⇒[tex] \sf{x - 9 - 24 = - 4}[/tex]

Calculate

⇒[tex] \sf{x - 33 = - 4}[/tex]

Move 33 to right hand side and change it's sign

⇒[tex] \sf{x = - 4 + 33}[/tex]

Calculate

⇒[tex] \sf{x = 29}[/tex]

Hope I helped!

Best regards!!

Answer:

A. x>-3

Step-by-step explanation:

You just have to divide -12 by 4 and the sign does not flip because 4 is not negative